摘要
本文在L-模糊拓扑空间引入了一种新的紧性—SP-紧性,给出了SP-紧性的α-网,α-滤子,r-SP-覆盖,,r^+-有限交性质等多种刻画。这种紧性是针对任意L-模糊子集来定义的,且保持了一般拓扑空间中紧性的许多好的性质。
A new compactness which is L-fuzzy SP-compactness is introduced in L-fuzzy
topological spaces. The SP-compactness is described with α-net, α-filter, r-SP-cover form and
r^+-finite intersection property The SP-compactness is defined for arbitrary L-fuzzy subsets,
and it preserves many good properties of compactness in general topological spaces.
出处
《数学进展》
CSCD
北大核心
2004年第3期316-322,共7页
Advances in Mathematics（China）
基金
The work is supported by the NNSF of China and NSF of Guangdong Province(No.10271069,021358)
关键词
L-模糊拓扑
模糊格
半准闭集
远域
SP-紧性
L-fuzzy topology
fuzzy lattice
semi-preclosed set
remote-neighborhood
SP-compactness
